GCF of 4036/648, 3027/4883
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4036/648, 3027/4883 i.e 1009/3164184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4036/648, 3027/4883.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4036/648,3027/4883?
Given fractions are 4036/648,3027/4883
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4036/648,3027/4883, numerators are 4036,3027
Denominators are 648,4883
The GCF of 4036,3027 is 1009 .
LCM of 648,4883 is 3164184.
The greatest common factor of 4036/648,3027/4883 = [GCF of 4036,3027]/[LCM of 648,4883]= 1009/3164184
Therefore, the GCF of 4036/648,3027/4883 is 1009/3164184.
To find the highest common factor of 4036,3027, we have to find the factors of both numbers and list the highest common factor.
The factors of 4036 are 1, 2, 4, 1009, 2018, 4036
The factors of 3027 are 1, 3, 1009, 3027
The HCF of 4036,3027 is 1009.
Lets's calculate GCF of 4036,3027
| 1009 | 4036, 3027 |
| 4, 3 |
∴ So the GCF of the given numbers is 1009 = 1009
Greatest Common Factor of 4036,3027 By Matching Biggest Common Factor Method
Now, list down the factors of 4036
:1,2,4,1009,2018,4036
Now, list down the factors of 3027
:1,3,1009,3027
Greatest Common Factor
We found the factors 4036,3027 . The biggest common factor number is the GCF number.
So the greatest common factor 4036,3027 is 1009.
Lets's calculate LCM of 648,4883
Given numbers has no common factors except 1. So, there LCM is their product i.e 3164184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1009/3164184
Therefore, the GCF of Fractions 4036/648,3027/4883 is 1009/3164184
Least Common Multiple of 648,4883 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 648,4883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,4883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(648,4883) x common factors =1 x 1 = 1
LCM(648,4883) = ( 648 × 4883 ) / 1
LCM(648,4883) = 3164184 / 1
LCM(648,4883) = 3164184
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FAQs on GCF of Fractions of 4036/648, 3027/4883
1. What is the HCF of 4036,3027?
The HCF of 4036,3027 is 1009
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4036/648, 3027/4883?
Answer: GCF of Numerators as per given numbers 4036/648, 3027/4883 is
GCF of Numerators i.e. for 4036,3027 is 1009
LCM of denominators i.e. for 648,4883 is 3164184.
Thus, GCF of Fractions is 1009/3164184.Finally, GCF of Fractions for 4036/648, 3027/4883 is 1009/3164184.